1. Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang, Hebei 050043, China; 2. Key Laboratory of Roads and Railway Engineering Safety Control, Shijiazhuang Tiedao University, Shijiazhuang, Hebei 050043, China; 3. Architectural Design and Research Institute, China Railway Fifth Survey and Design Institute Group Co. Ltd, Beijing 102600, China
Abstract:Research purposes: The surrounding rock of tunnels widely distributed in the eastern coastal areas of China is rich in water, which will pose a great threat to the safe construction and operation of tunnels under the action of seismic waves. At present, the shape of tunnel cross-section is complex and changeable, so the analysis and study of the dynamic response of arbitrary shaped tunnel in saturated soil plays an important value for the seismic design and construction of these areas. Based on the analytical solution method, this paper first establishes the analytic solution by common mapping and wave function expansion method under Biot saturated porous media dynamics theory. After the model and calculation process are verified to be correct and effective, the effects of incident wave number, porosity of saturated soil medium and Poisson's ratio on dynamic response of tunnel are studied. Research conclusions: (1) Incident wave number has significant influence on the dynamic stress concentration of tunnel. The dynamic stress response at low wave number is significantly greater than that at high wave number, and the distribution pattern of dynamic stress at high wave number tends to be more complex. (2) The porosity has little influence on the pore pressure response, and the pore pressure response distribution is basically consistent. In the case of higher porosity, the pore pressure concentration coefficient at the side wall increases, so the reinforcement treatment of surrounding rock at the side wall should be considered in design and construction. (3) The influence of Poisson ratio on pore pressure response is significant. The increase of Poisson's ratio not only affects the distribution law of tunnel pore pressure response, but also affects the amplitude of the response, which may induce the local increase of pore pressure in the vault, arch bottom, arch shoulder and arch foot. (4) The research conclusions can provide support for seismic design and safety construction of tunnels with various shapes in water-rich area.
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